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Finding the Fourth Proportional to 89,190, 133,793.64 and 30,040.56

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Solution

The fourth proportional to 89,190, 133,793.64 and 30,040.56 is: 45,063.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,190 : 133,793.64 = 30,040.56 : x
  2. Step 2: Convert to fraction form
    89,190/133,793.64 = 30,040.56/x
  3. Step 3: Cross multiply
    89,190x = 133,793.64 × 30,040.56
  4. Step 4: Simplify right side
    89,190x = 4,019,235,870.04
  5. Step 5: Solve for x
    x = 4,019,235,870.04/89,190
  6. Step 6: Final answer
    x = 45,063.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.